Question

In how many ways can 6 boys and 4 girls be made to stand for a photography

Answer 1

Given: number of boys = 6 and number of girls = 4

To find: how many ways be made to stand for a photography

Step-by-step explanation:

According to question

In this question we use permutation which means arrangement of a group of object where the order does compulsory.There are two conditions

1. Order,matters,repetition,allowed.          Possibilities = $n^r$
2. Order,matter,repetition,not allowed.      Possibilities = $np_r=\frac{n}{(n-r)}$ factorial: which means all numbers from 1 to n multiplied.

By using formula

$P(n,r)=\frac{n}{(n-r)}$ (Factorial)

$P(6,4)=\frac{6}{(6-4)}$ (Factorial)

$P=\frac{6}{2}$ (Factorial)

$P=\frac{6\times5\times4\times3\times2\times1}{2\times1}$

$P=\frac{720}{2}$

$P=360$ ways